NLANA material

Co-Authored-By: henrydatei <henrydatei@users.noreply.github.com>

Material/NLANA/hindernis2.tex

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+\documentclass{standalone}
+
+\usepackage{tikz}
+
+\begin{document}
+
+\begin{tikzpicture}
+	\draw plot [smooth] coordinates {(-1,-0.7) (0,0) (2.5,5) (5,0) (6,-0.7)};
+	\draw (0.5,5) to [bend left=12] (4.5,4.5);
+	\draw[fill=blue!50] plot [smooth] coordinates {(-1,-0.7) (0,0) (2.5,5) (5,0) (6,-0.7)};
+
+	\node at (2.5,2.5) (a) {Hindernis};
+	\node at (5.2,4.5) (b) {$K(x)$};
+	\node at (5.5,0.3) (c) {$\varphi(x)$};
+\end{tikzpicture}
+
+\end{document}

Material/NLANA/rutsche2.tex

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+\documentclass{standalone}
+
+\usepackage{tikz}
+
+\begin{document}
+
+\begin{tikzpicture}
+	\draw[->] (0,0) -- (5,0);
+	\draw[->] (0,0) -- (0,5);
+	\node at (5.2,0) (x) {$x$};
+	\node at (0,5.2) (y) {$u$};
+
+	\draw (1,4) to [bend right=10] (4.5,0.5);
+	\draw[dashed] (1,4) to [bend right=50] (4.5,0.5);
+	\draw[dashed] (1,4) to [bend left=30] (4.5,0.5);
+	\node at (1.2,4.2) (a) {$(x_0,u_0)$};
+	\node at (5.2,0.5) (a) {$(x_1,u_1)$};
+
+	\draw (1,0.1) -- (1,-0.1);
+	\draw (4.5,0.1) -- (4.5,-0.1);
+	\draw (3,0.1) -- (3,-0.1);
+	\node at (1,-0.3) (a) {$x_0$};
+	\node at (3,-0.3) (a) {$x$};
+	\node at (4.5,-0.3) (a) {$x_1$};
+
+	\draw[dotted] (3,0) -- (3,5);
+	\draw[black, fill=black] (3,1.67) circle (0.05);
+\end{tikzpicture}
+
+\end{document}